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Finding the Fourth Proportional to 9,644.67, 13,278.20 and 8,244.99

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Solution

The fourth proportional to 9,644.67, 13,278.20 and 8,244.99 is: 11,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.67 : 13,278.20 = 8,244.99 : x
  2. Step 2: Convert to fraction form
    9,644.67/13,278.20 = 8,244.99/x
  3. Step 3: Cross multiply
    9,644.67x = 13,278.20 × 8,244.99
  4. Step 4: Simplify right side
    9,644.67x = 109,478,584.99
  5. Step 5: Solve for x
    x = 109,478,584.99/9,644.67
  6. Step 6: Final answer
    x = 11,351.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.